A large tank filled with water is to be emptied by removing 1/5th of the water present in it everyday. After how many days will there be closest to 25% of the water left in the tank
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Let the three angles in a right angle triangle shaped garden be A, B and C. If three angles in a right triangle are in arithmetic progression, the middle valued angle must be less than 900 (three times the middle valued angle = 1800).
So the angles are, 900 + (900 - x) + (900 - 2x) = 1800,
or, 3x = 900,
or, x=300.
The angles are then, 300,600,900.

The smallest 10m side is opposite to the smallest angle of 300. So, longest side hypotenuse AC=ABsin300=20m and the base,
BC=ACcos300
or, BC=20×√32≅20×.85≅17m.
The perimeter is,
P=AB+CA+BC
Or, P≅10m+20m+17≅47m
Answer: The value near 47m, that is Choice b: 47.32
So the angles are, 900 + (900 - x) + (900 - 2x) = 1800,
or, 3x = 900,
or, x=300.
The angles are then, 300,600,900.

The smallest 10m side is opposite to the smallest angle of 300. So, longest side hypotenuse AC=ABsin300=20m and the base,
BC=ACcos300
or, BC=20×√32≅20×.85≅17m.
The perimeter is,
P=AB+CA+BC
Or, P≅10m+20m+17≅47m
Answer: The value near 47m, that is Choice b: 47.32
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